Hierarchical models of elastic shells in curvilinear coordinates (original) (raw)

Dynamical Hierarchical Models for Elastic Shells

mariam avalishvili

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On the asymptotic integration of the three-dimensional non-linear equations of thin elastic shells and plates

Bohuslav Novotny

International Journal of Solids and Structures, 1970

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A two-dimensional model for linear elastic thick shells

robert nzengwa

International Journal of Solids and Structures, 1999

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Formulation of boundary integral equations for linear elastic shells

Anthony Palazotto

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On one problem of a cusped elastic prismatic shells in case of the third model of Vekua s hierarchical model

N. Chinchaladze

Hacettepe Journal of Mathematics and Statistics, 2016

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A linear theory of thin elastic shells, based on conservation of a non-normal straight line

marcelo epstein

1973

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On the construction and investigation of hierarchic models for elastic rods

Gia Avalishvili

Hiroshima Mathematical Journal, 2006

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Existence and uniqueness theorems for cusped prismatic shells in theNth hierarchical model

David Natroshvili, N. Chinchaladze

Mathematical Methods in The Applied Sciences, 2008

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A simplified model for elastic thin shells

Georges Griso

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On a Hierarchical Model of Elastic Rods with Variable Cross-Sections

Mariam Avalishvili

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An analytical solution of boundary problems of shell deformation mechanics

Bulat Kashfutdinov

MATEC Web of Conferences

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On spectral approximation of static and dynamical problems for elastic multistructures

Gia Avalishvili

2009

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Two-dimensional linear model of elastic shell accounting for general anisotropy of material

P. Tovstik

Acta Mechanica, 2014

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Separated representations of 3D elastic solutions in shell geometries

Brice Bognet

Advanced Modeling and Simulation in Engineering Sciences, 2014

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Nonlinear finite element analysis of shells-part II. two-dimensional shells

M. Hughes, Wing Kam Liu

Computer Methods in Applied Mechanics and Engineering, 1981

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Two Finite Element Approximations of Naghdi's Shell Model in Cartesian Coordinates

Frédéric Hecht

SIAM Journal on Numerical Analysis, 2006

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A curvilinear finite element for shells of revolution

Luiz Bevilacqua

Computer-Aided Design, 1981

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A higher-order shell model applied to shells with mixed boundary conditions

Mojgan Yaghoubshahi

Proceedings of The Institution of Mechanical Engineers Part C-journal of Mechanical Engineering Science, 2010

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Construction and investigation of hierarchical models for thermoelastic prismatic shells

Gia Avalishvili

Bull. Georg. Natl. Acad. …, 2008

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The Theory of Anisotropic Elastic Plates

Tamaz Vashakmadze

1999

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A fully nonlinear multi-parameter shell model with thickness variation and a triangular shell finite element

Paulo Pimenta

Computational Mechanics, 2004

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On Mapping the Equilibrium Equations of a Class of Thin Shallow Shells with Varying Curvature to Constant Coefficient Equations via Lie Groups

Vassil M. Vassilev

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The Theory of Simple Elastic Shells

Holm Altenbach

Theories of Plates and Shells, 2004

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An efficient general curvilinear coordinates finite element method for the linear dynamic study of thickness-independent shells

Alejandro Albanesi

Latin American Journal of Solids and Structures, 2019

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On the investigation of static hierarchic model for elastic rods

Gia Avalishvili

2015

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Tangential Differential Equations for Dynamical Thin/Shallow Shells

jean-paul zolesio

Journal of Differential Equations, 1996

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Some boundary value problems and models for coupled elastic bodies

jaime alfonso arango cabarcas

Quarterly of Applied Mathematics

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Asymptotic analysis of linearly elastic shells. I. Justification of membrane shell equations

Véronique Lods

Archive for Rational Mechanics and Analysis, 1996

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Paper Title: A Refined Higher Order Theory for Statics and Dynamics of Doubly Curved Shells A Refined Higher Order Theory for Statics and Dynamics of Doubly Curved Shells

Tarun Kant

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On Hierarchical Models of Prismatic Shells within the Framework of the Chandrasekharaiah-Tzou Nonclassical Theory of Thermoelasticity

Gia Avalishvili

2013

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A Mixed Stress/Displacement Approach Model of Homogeneous Shells for Elastodynamic Problems

Alberto Díaz Díaz

Mathematical Problems in Engineering, 2020

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Differential equations for linear shells: Comparison between intrinsic and classical models

jean-paul zolesio

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